What is the Least Common Multiple of 22575 and 22582?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 22575 and 22582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22575 and 22582, than apply into the LCM equation.

GCF(22575,22582) = 7
LCM(22575,22582) = ( 22575 × 22582) / 7
LCM(22575,22582) = 509788650 / 7
LCM(22575,22582) = 72826950

Least Common Multiple (LCM) of 22575 and 22582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22575 and 22582. First we will calculate the prime factors of 22575 and 22582.

Prime Factorization of 22575

Prime Factorization of 22582

Now multiplying the highest exponent prime factors to calculate the LCM of 22575 and 22582.

LCM(22575,22582) = 3¹ × 5² × 7¹ × 43¹ × 2¹ × 1613¹
LCM(22575,22582) = 72826950